Higher sampling rates only benefit you if your mix needs higher frequencies, but even current 192kHz boxes usually cap it at 20kHz going in which makes recording at higher rates unnecessary. Sweet spot would be 64kHz which would allow filters to set the non-linear action to frequencies human ear cannot hear but we don't have that so if your converters are not "perfect" you are very safe at 96k, will not need 192k and definetely don't need to request 384k

Mixing at 96k have some benefits compared to 48k because not all plugins are made equal, but that is another story.

Anyway, if your final mix don't have frequencies over 20kHz you have absolutely zero reason for recording over 48k